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Logaritmi

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

Utilizând proprietățile logaritmilor, alegeți varianta corectă:

a)

log215=log23+log25\log_215=\log_23+\log_25  

b)

log215=log23log25\log_215=\log_23-\log_25  

c)

log215=log23÷log25\log_215=\log_23\div\log_25  

2.

daca logab=x\log_ab=x  

cat este logba\log_ba  

a)

1-x

b)

2x

c)

x2x^2  

d)

1x\frac{1}{x}  

3.

care este formula de schimbare a bazei logaritmilor, unde a>0; a1; b>0; b1a>0;\ a\ne1;\ b>0;\ b\ne1  ?

a)

logax=1logbx\log_ax=\frac{1}{\log_bx}  

b)

logax=logbalogbx\log_ax=\frac{\log_ba}{\log_bx}  

c)

logax=logbxlogba\log_ax=\frac{\log_bx}{\log_ba}  

4.

daca log3x>log34\log_3x>\log_34  , carui interval apartine x?

a)

(;4)\left(-\infty;-4\right)  

b)

(;+)\left(-\infty;+\infty\right)  

c)

(4;+4)\left(-4;+4\right)  

d)

(4;+)\left(4;+\infty\right)  

5.

n×logaxlogaxnn\times\log_ax\ne\log_ax^n   x>0 ; nϵRx>0\ ;\ n\epsilon R  

a)

Adevarat

b)

Fals

6.

log25+log2(45)=?\log_25+\log_2\left(\frac{4}{5}\right)=?  

a)

log2(5×45)\log_2\left(5\times\frac{4}{5}\right)  

b)

log24\log_24  

c)

2

d)

1

7.

logaritmul este operația inversă a ridicării la putere

a)

Adevarat

b)

Fals

8.

cum se citeste logay\log_ay  ?

(a)  

9.

logax+logay=?\log_ax+\log_ay=?   x,y>0x,y>0  

a)

logaxy\log_axy  

b)

loga(xy)\log_a\left(\frac{x}{y}\right)  

10.

loga1=0\log_a1=0 , unde a>0 si a1unde\ a>0\ si\ a\ne1  

a)

Adevarat

b)

Fals